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A Functional Single Index Model
Statistica Sinica, 2020Summary: We propose a semiparametric functional single-index model for studying the relationship between a univariate response and multiple functional covariates. The parametric part of the model integrates a functional linear regression model and a sufficient dimension-reduction structure.
Jiang, Fei +3 more
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A partitioned Single Functional Index Model
Computational Statistics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GOIA, Aldo, Vieu, Philippe
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2004
A single index model (SIM) summarizes the effects of the explanatory variables X1, ..., Xd within a single variable called the index. As stated at the beginning of Part II, the SIM is one possibility for generalizing the GLM or for restricting the multidimensional regression E(Y|X) to overcome the curse of dimensionality and the lack of ...
Wolfgang Härdle +3 more
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A single index model (SIM) summarizes the effects of the explanatory variables X1, ..., Xd within a single variable called the index. As stated at the beginning of Part II, the SIM is one possibility for generalizing the GLM or for restricting the multidimensional regression E(Y|X) to overcome the curse of dimensionality and the lack of ...
Wolfgang Härdle +3 more
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Varying-coefficient single-index model
Computational Statistics & Data Analysis, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heung Wong, Wai-Cheung Ip, Riquan Zhang
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Identifiability of single-index models and additive-index models
Biometrika, 2007SUMMARY We provide a proof for the identifiability for both single-index models and partially linear single index models assuming only the continuity of the regression function, a condition much weaker than the differentiability conditions assumed in the existing literature.
Wei Lin, K. B. Kulasekera
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Single-index relative error regression models
Communications in Statistics - Simulation and Computation, 2021We consider the estimation and hypothesis test for single-index model by proposing a profile mean squares relative error estimation method, coupling with a leave-one-component-out method.
Yujie Gai, Jun Zhang 0027
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